Calculate the number of molecules in 1 cc of an ideal gas at `27^(@)C` a pressure of 10 mm of mercury. Mean kinetic energy of molecule at `27^(@)C` is `4 xx 10^(-14)` erg, the density of mercury is 13.6 `g//cc`.

Explanation

To calculate the number of molecules in 1 cc of an ideal gas at 27°C and a pressure of 10 mm of mercury, we can follow these steps:

### Step 1: Convert Pressure from mmHg to dynes/cm²
The pressure exerted by the gas is given as 10 mm of mercury. We can convert this to dynes/cm² using the formula:
\[ P = h \cdot \rho \cdot g \]
where:
- \( h = 10 \, \text{mm} = 1 \, \text{cm} \)
- \( \rho = 13.6 \, \text{g/cm}^3 \) (density of mercury)
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